Linear Equations Worksheet With Answer Key Page 4
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1
2
3
4
514. 3 + 2 ( 4�� − 7 ) = 21
15. − �� + 3 ( 5�� − 3 ) = 19
13. 4 ( 2�� + 1 ) − 6�� = 18
3+2 ∙ 4�� − 2 ∙ 7 = 21
−�� + 3 ∙ 5�� − 3 ∙ 3 = 19
4 ∙ 2�� + 4 ∙ 1 − 6�� = 18
3 + 8�� − 14 = 21
−�� + 15�� − 9 = 19
8�� + 4 − 6�� = 18
8�� − 11 = 21
14�� − 9 = 19
2�� + 4 − 4 = 18 − 4
8�� − 11 + 11 = 21 + 11
14�� − 9 + 9 = 19 + 9
2�� = 14
8�� = 32
14�� = 28
2��
14
=
8��
32
14��
28
=
=
2
2
8
8
14
14
�� = 7
�� = 4
�� = 2
Solve each proportion:
9
��
2
8
�� − 4
2
16.
=
17.
=
18.
=
6
15
��
3
11
3
9 ∙ 15 = 6 ∙ ��
3(�� − 4) = 2 ∙ 11
2 ∙ 3 = 8 ∙ ��
9∙15
6��
3 ∙ �� − 3 ∙ 4 = 22
2∙3
8��
=
=
6
6
3�� − 12 = 22
8
8
3∙15
1∙3
= ��
= ��
3�� − 12 + 12 = 22 + 12
2
4
45
3
3�� = 34
= ��
= ��
2
4
3��
34
1
=
= 11
1
22
= ��
3
3
3
2
3
9
6
6
2 − 5��
19.
=
20. 5 =
21.
=
4
2�� − 15
3�� − 1
5
3
5
6
3(2�� − 15) = 4 ∙ 9
=
1
3��−1
3 ∙ 2�� − 3 ∙ 15 = 36
6 ∙ 3 = 5(2 − 5��)
5(3�� − 1) = 1 ∙ 6
6�� − 45 = 36
18 = 5 ∙ 2 − 5 ∙ 5��
5 ∙ 3�� − 5 ∙ 1 = 6
6�� − 45 + 45 = 36 + 45
18 = 10 − 25��
15�� − 5 = 6
6�� = 81
18 − 10 = −10 + 10 − 25��
15�� − 5 + 5 = 6 + 5
6��
81
1
8 = −25��
=
= 13
15�� = 11
6
6
2
8
−25��
=
15��
11
=
−25
−25
15
15
8
�� = −
11
�� =
25
15
In exercises 40 to 42, find and correct the error for each problem:
Didn’t distribute the 2 to the
Combined unlike terms.
Should multiply both sides by
3.
4.
1
2 ( �� − 3 ) = 5
5 − 3�� = 10
( �� − 2 ) = 8
4
2 ∙ �� − 2 ∙ 3 = 5
−5 + 5 − 3�� = 10 − 5
1
( �� − 2 ) = 4 ∙ 8
4 ∙
2�� − 6 = 5
−3�� = 5
4
�� − 2 = 32
−3��
5
2�� − 6 + 6 = 5 + 6
=
−3
−3
�� − 2 + 2 = 32 + 2
2�� = 11
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